(2+6i)+(3-7i)=

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Solution for (2+6i)+(3-7i)= equation:


Simplifying
(2 + 6i) + (3 + -7i) = 0

Remove parenthesis around (2 + 6i)
2 + 6i + (3 + -7i) = 0

Remove parenthesis around (3 + -7i)
2 + 6i + 3 + -7i = 0

Reorder the terms:
2 + 3 + 6i + -7i = 0

Combine like terms: 2 + 3 = 5
5 + 6i + -7i = 0

Combine like terms: 6i + -7i = -1i
5 + -1i = 0

Solving
5 + -1i = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1i = 0 + -5
-1i = 0 + -5

Combine like terms: 0 + -5 = -5
-1i = -5

Divide each side by '-1'.
i = 5

Simplifying
i = 5

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